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Math·Geometry and Trigonometry·Lines, angles, and triangles

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Triangles $ABC$ and $A^{\prime }{B}^{\prime }{C}^{\prime }$ are shown. Triangle $ABC$ is dilated by a scale factor of 6 to form triangle $A^{\prime }{B}^{\prime }{C}^{\prime }$. If the length of $\overline{AB}$ is 18, what is the length of $\overline{A^{\prime }{B}^{\prime }}$?

A

3

B

6

C

24

D

108